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Finding the Fourth Proportional to 977.76, 1,466.04 and 539.04

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Solution

The fourth proportional to 977.76, 1,466.04 and 539.04 is: 808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.76 : 1,466.04 = 539.04 : x
  2. Step 2: Convert to fraction form
    977.76/1,466.04 = 539.04/x
  3. Step 3: Cross multiply
    977.76x = 1,466.04 × 539.04
  4. Step 4: Simplify right side
    977.76x = 790,254.20
  5. Step 5: Solve for x
    x = 790,254.20/977.76
  6. Step 6: Final answer
    x = 808.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.